ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-2

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Presentation transcript:

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-2 4/20/2019 ALGEBRA II HONORS/GIFTED @ REVIEW FOR TEST 2-2

Factor completely. 20x2y – 100xy + 125y QUESTION #1 Factor completely. 20x2y – 100xy + 125y

ANSWER TO QUESTION #1 5y(2x – 5)2

QUESTION #2 Factor completely. 64x3 + 343

ANSWER TO QUESTION #2 (4x + 7) (16x2 - 28x + 49)

Classify the polynomial by degree and number of terms. QUESTION #3 Classify the polynomial by degree and number of terms. 6x3 – 4x + 3

ANSWER TO QUESTION #3 cubic trinomial

Factor completely. 4ax2 + 3bx2 – 36a – 27b QUESTION #4 Factor completely. 4ax2 + 3bx2 – 36a – 27b

ANSWER TO QUESTION #4 (4a + 3b)(x + 3)(x – 3)

QUESTION #5 Given f(x) = 3x3 – 2x2 – 5x. a) Factor completely. b) Find the coordinates of the relative minimum to 2 decimal places. c) Find the coordinates of the relative maximum to 2 decimal places.

ANSWERS TO QUESTION #5 a) x(3x – 5)(x + 1) b) (1, -4) c) (-0.56, 1.65)

QUESTION #6 Solve by factoring. 27x3 – 64 = 0

ANSWERS TO QUESTION #6

QUESTION #7 Divide. (8x3 + 2x2 – 7x + 2) ÷ (2x – 1)

ANSWER TO QUESTION #7 4x2 + 3x - 2

QUESTION #8 Divide. (3x3 – 24x - 11) ÷ (x – 3)

ANSWER TO QUESTION #8

Write a polynomial function in Standard Form with the given zeroes : QUESTION #9 Write a polynomial function in Standard Form with the given zeroes : 0, -5, 3

ANSWER TO QUESTION #9 x3 + 2x2 – 15x

QUESTION #10 Find the value of x that makes the following equation true. Feel free to use your graphing calculator to assist you with this problem. x(x + 2)(x – 5) = 126

ANSWER TO QUESTION #10 7

STUDY Sections 5-1 to 5-4 Factoring Cubics

S O L U T I N